Finding the Fourth Proportional to 2,820.54, 3,892.71 and 1,578.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,820.54 : 3,892.71 = 1,578.78 : x
2. Step 2: Convert to fraction form
   2,820.54/3,892.71 = 1,578.78/x
3. Step 3: Cross multiply
   2,820.54x = 3,892.71 × 1,578.78
4. Step 4: Simplify right side
   2,820.54x = 6,145,732.69
5. Step 5: Solve for x
   x = 6,145,732.69/2,820.54
6. Step 6: Final answer
   x = 2,178.92